Algebra Examples

$1 + 6 \div 3 - (9 - 5)$

Step 1

Find the common denominator.

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Step 1.1

Write $1$ as a fraction with denominator $1$ .

$\frac{1}{1} + 6 \div 3 - (9 - 5)$

Step 1.2

Multiply $\frac{1}{1}$ by $\frac{3}{3}$ .

$\frac{1}{1} \cdot \frac{3}{3} + 6 \div 3 - (9 - 5)$

Step 1.3

Multiply $\frac{1}{1}$ by $\frac{3}{3}$ .

$\frac{3}{3} + 6 \div 3 - (9 - 5)$

Step 1.4

Write $- (9 - 5)$ as a fraction with denominator $1$ .

$\frac{3}{3} + 6 \div 3 + \frac{- (9 - 5)}{1}$

Step 1.5

Multiply $\frac{- (9 - 5)}{1}$ by $\frac{3}{3}$ .

$\frac{3}{3} + 6 \div 3 + \frac{- (9 - 5)}{1} \cdot \frac{3}{3}$

Step 1.6

Multiply $\frac{- (9 - 5)}{1}$ by $\frac{3}{3}$ .

$\frac{3}{3} + 6 \div 3 + \frac{- (9 - 5) \cdot 3}{3}$

Step 2

Combine the numerators over the common denominator.

$\frac{3 + 6 - (9 - 5) \cdot 3}{3}$

Step 3

Simplify each term.

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Step 3.1

Subtract $5$ from $9$ .

$\frac{3 + 6 - 1 \cdot 4 \cdot 3}{3}$

Step 3.2

Multiply $- 1 \cdot 4 \cdot 3$ .

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Step 3.2.1

Multiply $- 1$ by $4$ .

$\frac{3 + 6 - 4 \cdot 3}{3}$

Step 3.2.2

Multiply $- 4$ by $3$ .

$\frac{3 + 6 - 12}{3}$

Step 4

Simplify the expression.

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Step 4.1

Add $3$ and $6$ .

$\frac{9 - 12}{3}$

Step 4.2

Subtract $12$ from $9$ .

$\frac{- 3}{3}$

Step 4.3

Divide $- 3$ by $3$ .

$- 1$